3.6-bo'lim : Ko'rsatkichli va logarifm funksiyalarning hosilalari
3. \(R\left( w \right) = {3^w}\log \left( w \right)\) ni farqlang.
Yechim
Bu erda sinfdagi formulalar yordamida hosila olishdan boshqa narsa qilish kerak emas. \[\require{bbox} \bbox[2pt,border:1px solid black]{{R'\left( w \right) = {3^w}\ln \left( 3 \right)\log \left( w \right) + \frac{{{3^w}}}{{w\ln \left( {10} \right)}}}}\]
Eslatib o'tamiz, \(\log \left( x \right)\) umumiy logarifm va haqiqatan ham \({\log _{10}}\left( x \right)\).